[{"department":[{"_id":"360"}],"type":"conference","date_created":"2024-12-08T11:31:00Z","file":[{"date_created":"2024-12-08T11:30:50Z","creator":"srezat","content_type":"application/pdf","file_id":"57614","date_updated":"2024-12-08T11:30:50Z","relation":"main_file","access_level":"open_access","file_size":342331,"file_name":"Rezat_FAME1_2024.pdf"}],"publication":"Proceedings of FAME 1 – Feedback & Assessment in Mathematics Education (ETC 14), 5-7 June 2024, Utrecht (The Netherlands)","doi":"10.5281/zenodo.14231455","language":[{"iso":"eng"}],"date_updated":"2024-12-08T11:43:23Z","author":[{"full_name":"Rezat, Sebastian","last_name":"Rezat","first_name":"Sebastian","id":"31132"}],"year":"2024","title":"Students' instrumentalizations of hints and automated feedback in their task solution process when learning mathematics with a digital curriculum resource","oa":"1","place":"Utrecht","citation":{"ama":"Rezat S. Students’ instrumentalizations of hints and automated feedback in their task solution process when learning mathematics with a digital curriculum resource. In: Iannone P, Moons F, Drüke-Noe C, et al., eds. <i>Proceedings of FAME 1 – Feedback &#38; Assessment in Mathematics Education (ETC 14), 5-7 June 2024, Utrecht (The Netherlands)</i>. Utrecht University and ERME; 2024:262–269. doi:<a href=\"https://doi.org/10.5281/zenodo.14231455\">10.5281/zenodo.14231455</a>","bibtex":"@inproceedings{Rezat_2024, place={Utrecht}, title={Students’ instrumentalizations of hints and automated feedback in their task solution process when learning mathematics with a digital curriculum resource}, DOI={<a href=\"https://doi.org/10.5281/zenodo.14231455\">10.5281/zenodo.14231455</a>}, booktitle={Proceedings of FAME 1 – Feedback &#38; Assessment in Mathematics Education (ETC 14), 5-7 June 2024, Utrecht (The Netherlands)}, publisher={Utrecht University and ERME}, author={Rezat, Sebastian}, editor={Iannone, Paola and Moons, Filip and Drüke-Noe, Christina and Geraniou, Eirini and Morselli, Francesca and Klingbeil, Katrin and Veldhuis, Michiel and Olsher, Shai}, year={2024}, pages={262–269} }","mla":"Rezat, Sebastian. “Students’ Instrumentalizations of Hints and Automated Feedback in Their Task Solution Process When Learning Mathematics with a Digital Curriculum Resource.” <i>Proceedings of FAME 1 – Feedback &#38; Assessment in Mathematics Education (ETC 14), 5-7 June 2024, Utrecht (The Netherlands)</i>, edited by Paola Iannone et al., Utrecht University and ERME, 2024, pp. 262–269, doi:<a href=\"https://doi.org/10.5281/zenodo.14231455\">10.5281/zenodo.14231455</a>.","short":"S. Rezat, in: P. Iannone, F. Moons, C. Drüke-Noe, E. Geraniou, F. Morselli, K. Klingbeil, M. Veldhuis, S. Olsher (Eds.), Proceedings of FAME 1 – Feedback &#38; Assessment in Mathematics Education (ETC 14), 5-7 June 2024, Utrecht (The Netherlands), Utrecht University and ERME, Utrecht, 2024, pp. 262–269.","chicago":"Rezat, Sebastian. “Students’ Instrumentalizations of Hints and Automated Feedback in Their Task Solution Process When Learning Mathematics with a Digital Curriculum Resource.” In <i>Proceedings of FAME 1 – Feedback &#38; Assessment in Mathematics Education (ETC 14), 5-7 June 2024, Utrecht (The Netherlands)</i>, edited by Paola Iannone, Filip Moons, Christina Drüke-Noe, Eirini Geraniou, Francesca Morselli, Katrin Klingbeil, Michiel Veldhuis, and Shai Olsher, 262–269. Utrecht: Utrecht University and ERME, 2024. <a href=\"https://doi.org/10.5281/zenodo.14231455\">https://doi.org/10.5281/zenodo.14231455</a>.","apa":"Rezat, S. (2024). Students’ instrumentalizations of hints and automated feedback in their task solution process when learning mathematics with a digital curriculum resource. In P. Iannone, F. Moons, C. Drüke-Noe, E. Geraniou, F. Morselli, K. Klingbeil, M. Veldhuis, &#38; S. Olsher (Eds.), <i>Proceedings of FAME 1 – Feedback &#38; Assessment in Mathematics Education (ETC 14), 5-7 June 2024, Utrecht (The Netherlands)</i> (pp. 262–269). Utrecht University and ERME. <a href=\"https://doi.org/10.5281/zenodo.14231455\">https://doi.org/10.5281/zenodo.14231455</a>","ieee":"S. Rezat, “Students’ instrumentalizations of hints and automated feedback in their task solution process when learning mathematics with a digital curriculum resource,” in <i>Proceedings of FAME 1 – Feedback &#38; Assessment in Mathematics Education (ETC 14), 5-7 June 2024, Utrecht (The Netherlands)</i>, 2024, pp. 262–269, doi: <a href=\"https://doi.org/10.5281/zenodo.14231455\">10.5281/zenodo.14231455</a>."},"file_date_updated":"2024-12-08T11:30:50Z","editor":[{"last_name":"Iannone","first_name":"Paola","full_name":"Iannone, Paola"},{"full_name":"Moons, Filip","last_name":"Moons","first_name":"Filip"},{"first_name":"Christina","last_name":"Drüke-Noe","full_name":"Drüke-Noe, Christina"},{"first_name":"Eirini","last_name":"Geraniou","full_name":"Geraniou, Eirini"},{"last_name":"Morselli","first_name":"Francesca","full_name":"Morselli, Francesca"},{"last_name":"Klingbeil","first_name":"Katrin","full_name":"Klingbeil, Katrin"},{"first_name":"Michiel","last_name":"Veldhuis","full_name":"Veldhuis, Michiel"},{"full_name":"Olsher, Shai","first_name":"Shai","last_name":"Olsher"}],"ddc":["370"],"user_id":"31132","publisher":"Utrecht University and ERME","_id":"57613","page":"262–269","has_accepted_license":"1","status":"public"},{"editor":[{"first_name":"Alejandro S.","last_name":"González-Martín","full_name":"González-Martín, Alejandro S."},{"full_name":"Gueudet, Ghislaine","first_name":"Ghislaine","last_name":"Gueudet"},{"full_name":"Florensa, Ignasi","first_name":"Ignasi","last_name":"Florensa"},{"full_name":"Lombard, Nathan","last_name":"Lombard","first_name":"Nathan"}],"ddc":["370","510"],"user_id":"32202","_id":"57895","publisher":"Escola Univerist`aria Salesiana de Sarri`a – Univ. Aut`onoma de Barcelona and INDRUM","has_accepted_license":"1","status":"public","oa":"1","place":"Barcelona","quality_controlled":"1","citation":{"bibtex":"@inproceedings{Hoffmann_Schlüter_2024, place={Barcelona}, title={How Do Advanced Pre-Service Teachers Develop Congruence Theorems for Quadrilaterals?}, booktitle={Proceedings of the Fifth Conference of the International Network for Didactic Research in University Mathematics (INDRUM 2024, 10-14 June 2024)}, publisher={Escola Univerist`aria Salesiana de Sarri`a – Univ. Aut`onoma de Barcelona and INDRUM}, author={Hoffmann, Max and Schlüter, Sarah}, editor={González-Martín, Alejandro S. and Gueudet, Ghislaine and Florensa, Ignasi and Lombard, Nathan}, year={2024} }","ama":"Hoffmann M, Schlüter S. How Do Advanced Pre-Service Teachers Develop Congruence Theorems for Quadrilaterals? In: González-Martín AS, Gueudet G, Florensa I, Lombard N, eds. <i>Proceedings of the Fifth Conference of the International Network for Didactic Research in University Mathematics (INDRUM 2024, 10-14 June 2024)</i>. Escola Univerist`aria Salesiana de Sarri`a – Univ. Aut`onoma de Barcelona and INDRUM; 2024.","short":"M. Hoffmann, S. Schlüter, in: A.S. González-Martín, G. Gueudet, I. Florensa, N. Lombard (Eds.), Proceedings of the Fifth Conference of the International Network for Didactic Research in University Mathematics (INDRUM 2024, 10-14 June 2024), Escola Univerist`aria Salesiana de Sarri`a – Univ. Aut`onoma de Barcelona and INDRUM, Barcelona, 2024.","chicago":"Hoffmann, Max, and Sarah Schlüter. “How Do Advanced Pre-Service Teachers Develop Congruence Theorems for Quadrilaterals?” In <i>Proceedings of the Fifth Conference of the International Network for Didactic Research in University Mathematics (INDRUM 2024, 10-14 June 2024)</i>, edited by Alejandro S. González-Martín, Ghislaine Gueudet, Ignasi Florensa, and Nathan Lombard. Barcelona: Escola Univerist`aria Salesiana de Sarri`a – Univ. Aut`onoma de Barcelona and INDRUM, 2024.","ieee":"M. Hoffmann and S. Schlüter, “How Do Advanced Pre-Service Teachers Develop Congruence Theorems for Quadrilaterals?,” in <i>Proceedings of the Fifth Conference of the International Network for Didactic Research in University Mathematics (INDRUM 2024, 10-14 June 2024)</i>, 2024.","apa":"Hoffmann, M., &#38; Schlüter, S. (2024). How Do Advanced Pre-Service Teachers Develop Congruence Theorems for Quadrilaterals? In A. S. González-Martín, G. Gueudet, I. Florensa, &#38; N. Lombard (Eds.), <i>Proceedings of the Fifth Conference of the International Network for Didactic Research in University Mathematics (INDRUM 2024, 10-14 June 2024)</i>. Escola Univerist`aria Salesiana de Sarri`a – Univ. Aut`onoma de Barcelona and INDRUM.","mla":"Hoffmann, Max, and Sarah Schlüter. “How Do Advanced Pre-Service Teachers Develop Congruence Theorems for Quadrilaterals?” <i>Proceedings of the Fifth Conference of the International Network for Didactic Research in University Mathematics (INDRUM 2024, 10-14 June 2024)</i>, edited by Alejandro S. González-Martín et al., Escola Univerist`aria Salesiana de Sarri`a – Univ. Aut`onoma de Barcelona and INDRUM, 2024."},"file_date_updated":"2025-01-02T10:42:21Z","language":[{"iso":"eng"}],"main_file_link":[{"open_access":"1","url":"https://indrum2024.sciencesconf.org/data/pages/Proceedings_INDRUM2024.pdf"}],"date_updated":"2025-01-02T10:45:59Z","publication_status":"published","author":[{"full_name":"Hoffmann, Max","orcid":"0000-0002-6964-7123","first_name":"Max","last_name":"Hoffmann","id":"32202"},{"last_name":"Schlüter","first_name":"Sarah","full_name":"Schlüter, Sarah"}],"year":"2024","title":"How Do Advanced Pre-Service Teachers Develop Congruence Theorems for Quadrilaterals?","department":[{"_id":"97"},{"_id":"643"}],"keyword":["Teachers’ and students’ practices at university level","Transition to","across and from university mathematics","Teaching and learning of specific topics in university mathematics","Congruence","Quadrilaterals"],"type":"conference","date_created":"2025-01-02T10:45:53Z","file":[{"date_created":"2025-01-02T10:42:21Z","creator":"maxh","file_id":"57896","content_type":"application/pdf","success":1,"file_name":"2024_Hoffmann_Schlueter_CongruenceQuadrilaterals.pdf","file_size":315111,"access_level":"closed","relation":"main_file","date_updated":"2025-01-02T10:42:21Z"}],"abstract":[{"lang":"eng","text":"In our paper, we present a study in which we investigate which strategies pre-service teachers (PSTs) use to find and, if necessary, reject possible candidates for congruence theorems for quadrilaterals. This study was conducted before the PTSs attended a university geometry course. In this way, statements about learning prerequisites can be made. For the study, we analyzed group discussions of PSTs to identify typical approaches and evaluate them from a mathematical perspective. The results can be considered for the further development of courses for PSTs and generate hypotheses\r\nfor further research."}],"publication":"Proceedings of the Fifth Conference of the International Network for Didactic Research in University Mathematics (INDRUM 2024, 10-14 June 2024)"},{"oa":"1","external_id":{"arxiv":["https://arxiv.org/abs/2103.12127"]},"project":[{"name":"TRR 358 - Geodätische Flüsse und Weyl Kammer Flüsse auf affinen Gebäuden (Teilprojekt B04)","_id":"358","grant_number":"491392403"},{"name":"Mikrolokale Methoden für hyperbolische Dynamiken","grant_number":"422642921","_id":"355"}],"file_date_updated":"2022-06-22T09:56:08Z","citation":{"apa":"Weich, T., Guedes Bonthonneau, Y., &#38; Guillarmou, C. (2024). SRB Measures of Anosov Actions. <i>Journal of Differential Geometry</i>, <i>128</i>, 959–1026. <a href=\"https://doi.org/ DOI: 10.4310/jdg/1729092452\">https://doi.org/ DOI: 10.4310/jdg/1729092452</a>","mla":"Weich, Tobias, et al. “SRB Measures of Anosov Actions.” <i>Journal of Differential Geometry</i>, vol. 128, 2024, pp. 959–1026, doi:<a href=\"https://doi.org/ DOI: 10.4310/jdg/1729092452\"> DOI: 10.4310/jdg/1729092452</a>.","ieee":"T. Weich, Y. Guedes Bonthonneau, and C. Guillarmou, “SRB Measures of Anosov Actions,” <i>Journal of Differential Geometry</i>, vol. 128, pp. 959–1026, 2024, doi: <a href=\"https://doi.org/ DOI: 10.4310/jdg/1729092452\"> DOI: 10.4310/jdg/1729092452</a>.","short":"T. Weich, Y. Guedes Bonthonneau, C. Guillarmou, Journal of Differential Geometry 128 (2024) 959–1026.","ama":"Weich T, Guedes Bonthonneau Y, Guillarmou C. SRB Measures of Anosov Actions. <i>Journal of Differential Geometry</i>. 2024;128:959-1026. doi:<a href=\"https://doi.org/ DOI: 10.4310/jdg/1729092452\"> DOI: 10.4310/jdg/1729092452</a>","chicago":"Weich, Tobias, Yannick Guedes Bonthonneau, and Colin Guillarmou. “SRB Measures of Anosov Actions.” <i>Journal of Differential Geometry</i> 128 (2024): 959–1026. <a href=\"https://doi.org/ DOI: 10.4310/jdg/1729092452\">https://doi.org/ DOI: 10.4310/jdg/1729092452</a>.","bibtex":"@article{Weich_Guedes Bonthonneau_Guillarmou_2024, title={SRB Measures of Anosov Actions}, volume={128}, DOI={<a href=\"https://doi.org/ DOI: 10.4310/jdg/1729092452\"> DOI: 10.4310/jdg/1729092452</a>}, journal={Journal of Differential Geometry}, author={Weich, Tobias and Guedes Bonthonneau, Yannick and Guillarmou, Colin}, year={2024}, pages={959–1026} }"},"user_id":"49178","ddc":["510"],"volume":128,"page":"959-1026","_id":"32097","has_accepted_license":"1","status":"public","type":"journal_article","department":[{"_id":"10"},{"_id":"623"},{"_id":"548"}],"file":[{"creator":"weich","date_created":"2022-06-22T09:56:08Z","file_size":745870,"access_level":"open_access","file_name":"2103.12127.pdf","date_updated":"2022-06-22T09:56:08Z","relation":"main_file","content_type":"application/pdf","file_id":"32098"}],"date_created":"2022-06-22T09:56:23Z","publication":"Journal of Differential Geometry","doi":" DOI: 10.4310/jdg/1729092452","language":[{"iso":"eng"}],"date_updated":"2025-01-02T15:39:43Z","intvolume":"       128","year":"2024","title":"SRB Measures of Anosov Actions","author":[{"full_name":"Weich, Tobias","orcid":"0000-0002-9648-6919","first_name":"Tobias","last_name":"Weich","id":"49178"},{"full_name":"Guedes Bonthonneau, Yannick","last_name":"Guedes Bonthonneau","first_name":"Yannick"},{"full_name":"Guillarmou, Colin","first_name":"Colin","last_name":"Guillarmou"}]},{"citation":{"short":"E. Lankeit, R. Biehler, in: P. Ebers, F. Rösken, B. Barzel, A. Büchter, F. Schacht, P. Scherer (Eds.), Beiträge zum Mathematikunterricht 2024 - 57. Jahrestagung der Gesellschaft für Didaktik der Mathematik., WTM-Verlag, Münster, 2024, pp. 1073–1076.","chicago":"Lankeit, Elisa, and Rolf Biehler. “Bedeutungsfacetten der Beziehungen von Differenzierbarkeit und Stetigkeit im Ein- und Mehrdimensionalen: Ein Blick auf die semantische Ebene.” In <i>Beiträge zum Mathematikunterricht 2024 - 57. Jahrestagung der Gesellschaft für Didaktik der Mathematik.</i>, edited by P. Ebers, F. Rösken, B. Barzel, A. Büchter, F. Schacht, and P. Scherer, 1073–76. Münster: WTM-Verlag, 2024. <a href=\"https://doi.org/10.37626/GA9783959872782.0\">https://doi.org/10.37626/GA9783959872782.0</a>.","ieee":"E. Lankeit and R. Biehler, “Bedeutungsfacetten der Beziehungen von Differenzierbarkeit und Stetigkeit im Ein- und Mehrdimensionalen: Ein Blick auf die semantische Ebene,” in <i>Beiträge zum Mathematikunterricht 2024 - 57. Jahrestagung der Gesellschaft für Didaktik der Mathematik.</i>, P. Ebers, F. Rösken, B. Barzel, A. Büchter, F. Schacht, and P. Scherer, Eds. Münster: WTM-Verlag, 2024, pp. 1073–1076.","apa":"Lankeit, E., &#38; Biehler, R. (2024). Bedeutungsfacetten der Beziehungen von Differenzierbarkeit und Stetigkeit im Ein- und Mehrdimensionalen: Ein Blick auf die semantische Ebene. In P. Ebers, F. Rösken, B. Barzel, A. Büchter, F. Schacht, &#38; P. Scherer (Eds.), <i>Beiträge zum Mathematikunterricht 2024 - 57. Jahrestagung der Gesellschaft für Didaktik der Mathematik.</i> (pp. 1073–1076). WTM-Verlag. <a href=\"https://doi.org/10.37626/GA9783959872782.0\">https://doi.org/10.37626/GA9783959872782.0</a>","bibtex":"@inbook{Lankeit_Biehler_2024, place={Münster}, title={Bedeutungsfacetten der Beziehungen von Differenzierbarkeit und Stetigkeit im Ein- und Mehrdimensionalen: Ein Blick auf die semantische Ebene}, DOI={<a href=\"https://doi.org/10.37626/GA9783959872782.0\">10.37626/GA9783959872782.0</a>}, booktitle={Beiträge zum Mathematikunterricht 2024 - 57. Jahrestagung der Gesellschaft für Didaktik der Mathematik.}, publisher={WTM-Verlag}, author={Lankeit, Elisa and Biehler, Rolf}, editor={Ebers, P. and Rösken, F. and Barzel, B. and Büchter, A. and Schacht, F. and Scherer, P.}, year={2024}, pages={1073–1076} }","ama":"Lankeit E, Biehler R. Bedeutungsfacetten der Beziehungen von Differenzierbarkeit und Stetigkeit im Ein- und Mehrdimensionalen: Ein Blick auf die semantische Ebene. In: Ebers P, Rösken F, Barzel B, Büchter A, Schacht F, Scherer P, eds. <i>Beiträge zum Mathematikunterricht 2024 - 57. Jahrestagung der Gesellschaft für Didaktik der Mathematik.</i> WTM-Verlag; 2024:1073-1076. doi:<a href=\"https://doi.org/10.37626/GA9783959872782.0\">10.37626/GA9783959872782.0</a>","mla":"Lankeit, Elisa, and Rolf Biehler. “Bedeutungsfacetten der Beziehungen von Differenzierbarkeit und Stetigkeit im Ein- und Mehrdimensionalen: Ein Blick auf die semantische Ebene.” <i>Beiträge zum Mathematikunterricht 2024 - 57. Jahrestagung der Gesellschaft für Didaktik der Mathematik.</i>, edited by P. Ebers et al., WTM-Verlag, 2024, pp. 1073–76, doi:<a href=\"https://doi.org/10.37626/GA9783959872782.0\">10.37626/GA9783959872782.0</a>."},"file_date_updated":"2025-01-06T11:19:31Z","place":"Münster","has_accepted_license":"1","status":"public","editor":[{"last_name":"Ebers","first_name":"P.","full_name":"Ebers, P."},{"full_name":"Rösken, F.","last_name":"Rösken","first_name":"F."},{"full_name":"Barzel, B.","first_name":"B.","last_name":"Barzel"},{"full_name":"Büchter, A.","last_name":"Büchter","first_name":"A."},{"full_name":"Schacht, F.","last_name":"Schacht","first_name":"F."},{"last_name":"Scherer","first_name":"P.","full_name":"Scherer, P."}],"ddc":["510"],"user_id":"37888","_id":"57952","publisher":"WTM-Verlag","page":"1073-1076","publication":"Beiträge zum Mathematikunterricht 2024 - 57. Jahrestagung der Gesellschaft für Didaktik der Mathematik.","department":[{"_id":"363"}],"type":"book_chapter","date_created":"2025-01-06T11:19:48Z","file":[{"creator":"krueter","date_created":"2025-01-06T11:19:31Z","relation":"main_file","date_updated":"2025-01-06T11:19:31Z","file_name":"BzMU24_1073.pdf","file_size":514054,"access_level":"closed","file_id":"57953","success":1,"content_type":"application/pdf"}],"date_updated":"2025-01-06T11:19:55Z","author":[{"last_name":"Lankeit","first_name":"Elisa","full_name":"Lankeit, Elisa"},{"first_name":"Rolf","last_name":"Biehler","full_name":"Biehler, Rolf","id":"16274"}],"title":"Bedeutungsfacetten der Beziehungen von Differenzierbarkeit und Stetigkeit im Ein- und Mehrdimensionalen: Ein Blick auf die semantische Ebene","year":"2024","doi":"10.37626/GA9783959872782.0","language":[{"iso":"ger"}],"main_file_link":[{"url":"https://doi.org/10.37626/GA9783959872782.0"}]},{"doi":"10.37626/GA9783959872782.0","language":[{"iso":"ger"}],"main_file_link":[{"url":"https://doi.org/10.37626/GA9783959872782.0"}],"date_updated":"2025-01-06T11:15:07Z","author":[{"id":"42660","last_name":"Fleischer","first_name":"Yannik","orcid":"https://orcid.org/0000-0003-0318-0329","full_name":"Fleischer, Yannik"},{"id":"16274","full_name":"Biehler, Rolf","last_name":"Biehler","first_name":"Rolf"}],"title":"Intuitiver Zugang zu datenbasierten Entscheidungsbäumen","year":"2024","department":[{"_id":"363"}],"type":"book_chapter","date_created":"2025-01-06T11:14:58Z","file":[{"file_name":"BzMU24_167.pdf","file_size":2075329,"access_level":"closed","relation":"main_file","date_updated":"2025-01-06T11:14:34Z","file_id":"57951","content_type":"application/pdf","success":1,"creator":"krueter","date_created":"2025-01-06T11:14:34Z"}],"publication":"Beiträge zum Mathematikunterricht 2024 - 57. Jahrestagung der Gesellschaft für Didaktik der Mathematik.","editor":[{"first_name":"P.","last_name":"Ebers","full_name":"Ebers, P."},{"full_name":"Rösken, F.","last_name":"Rösken","first_name":"F."},{"last_name":"Barzel","first_name":"B.","full_name":"Barzel, B."},{"first_name":"A.","last_name":"Büchter","full_name":"Büchter, A."},{"full_name":"Schacht, F.","last_name":"Schacht","first_name":"F."},{"last_name":"Scherer","first_name":"P.","full_name":"Scherer, P."}],"ddc":["510"],"user_id":"37888","_id":"57950","publisher":"WTM-Verlag","page":"167-170","has_accepted_license":"1","status":"public","place":"Münster","citation":{"mla":"Fleischer, Yannik, and Rolf Biehler. “Intuitiver Zugang zu datenbasierten Entscheidungsbäumen.” <i>Beiträge zum Mathematikunterricht 2024 - 57. Jahrestagung der Gesellschaft für Didaktik der Mathematik.</i>, edited by P. 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Fachspezifische wissenschaftliche Textkompetenzen mit digitalen Medien in der Lehre fördern","year":"2024","date_updated":"2025-03-04T08:49:32Z","publication_status":"published","language":[{"iso":"ger"}],"main_file_link":[{"url":"https://www.waxmann.com/index.php?eID=download&buchnr=4837","open_access":"1"}],"doi":"10.31244/9783830998372","citation":{"ieee":"S. Rezat, S. Rezat, O. Scholle, C. Schulte, and F. Winkelnkemper, “AnnoPy. Fachspezifische wissenschaftliche Textkompetenzen mit digitalen Medien in der Lehre fördern,” in <i>Lehrkräftebildung in der digitalen Welt. Zukunftsorientierte Forschungs- und Praxisperspektiven</i>, B. Herzig, B. Eickelmann, F. Schwabl, J. Schulze, and J. Niemann, Eds. Münster: Waxmann, 2024, pp. 219–230.","mla":"Rezat, Sebastian, et al. “AnnoPy. Fachspezifische wissenschaftliche Textkompetenzen mit digitalen Medien in der Lehre fördern.” <i>Lehrkräftebildung in der digitalen Welt. Zukunftsorientierte Forschungs- und Praxisperspektiven</i>, edited by Bardo Herzig et al., Waxmann, 2024, pp. 219–230, doi:<a href=\"https://doi.org/10.31244/9783830998372\">10.31244/9783830998372</a>.","apa":"Rezat, S., Rezat, S., Scholle, O., Schulte, C., &#38; Winkelnkemper, F. (2024). AnnoPy. Fachspezifische wissenschaftliche Textkompetenzen mit digitalen Medien in der Lehre fördern. In B. Herzig, B. Eickelmann, F. Schwabl, J. Schulze, &#38; J. Niemann (Eds.), <i>Lehrkräftebildung in der digitalen Welt. Zukunftsorientierte Forschungs- und Praxisperspektiven</i> (pp. 219–230). Waxmann. <a href=\"https://doi.org/10.31244/9783830998372\">https://doi.org/10.31244/9783830998372</a>","bibtex":"@inbook{Rezat_Rezat_Scholle_Schulte_Winkelnkemper_2024, place={Münster}, title={AnnoPy. Fachspezifische wissenschaftliche Textkompetenzen mit digitalen Medien in der Lehre fördern}, DOI={<a href=\"https://doi.org/10.31244/9783830998372\">10.31244/9783830998372</a>}, booktitle={Lehrkräftebildung in der digitalen Welt. Zukunftsorientierte Forschungs- und Praxisperspektiven}, publisher={Waxmann}, author={Rezat, Sebastian and Rezat, Sara and Scholle, Oliver and Schulte, Carsten and Winkelnkemper, Felix}, editor={Herzig, Bardo and Eickelmann, Birgit and Schwabl, Franziska and Schulze, Johanna and Niemann, Jan}, year={2024}, pages={219–230} }","chicago":"Rezat, Sebastian, Sara Rezat, Oliver Scholle, Carsten Schulte, and Felix Winkelnkemper. “AnnoPy. Fachspezifische wissenschaftliche Textkompetenzen mit digitalen Medien in der Lehre fördern.” In <i>Lehrkräftebildung in der digitalen Welt. Zukunftsorientierte Forschungs- und Praxisperspektiven</i>, edited by Bardo Herzig, Birgit Eickelmann, Franziska Schwabl, Johanna Schulze, and Jan Niemann, 219–230. Münster: Waxmann, 2024. <a href=\"https://doi.org/10.31244/9783830998372\">https://doi.org/10.31244/9783830998372</a>.","ama":"Rezat S, Rezat S, Scholle O, Schulte C, Winkelnkemper F. AnnoPy. Fachspezifische wissenschaftliche Textkompetenzen mit digitalen Medien in der Lehre fördern. In: Herzig B, Eickelmann B, Schwabl F, Schulze J, Niemann J, eds. <i>Lehrkräftebildung in der digitalen Welt. Zukunftsorientierte Forschungs- und Praxisperspektiven</i>. Waxmann; 2024:219–230. doi:<a href=\"https://doi.org/10.31244/9783830998372\">10.31244/9783830998372</a>","short":"S. Rezat, S. Rezat, O. Scholle, C. Schulte, F. Winkelnkemper, in: B. Herzig, B. Eickelmann, F. Schwabl, J. Schulze, J. Niemann (Eds.), Lehrkräftebildung in der digitalen Welt. Zukunftsorientierte Forschungs- und Praxisperspektiven, Waxmann, Münster, 2024, pp. 219–230."},"quality_controlled":"1","place":"Münster","oa":"1","status":"public","publisher":"Waxmann","_id":"58216","page":"219–230","editor":[{"last_name":"Herzig","first_name":"Bardo","full_name":"Herzig, Bardo"},{"full_name":"Eickelmann, Birgit","last_name":"Eickelmann","first_name":"Birgit"},{"full_name":"Schwabl, Franziska","last_name":"Schwabl","first_name":"Franziska"},{"full_name":"Schulze, Johanna","first_name":"Johanna","last_name":"Schulze"},{"last_name":"Niemann","first_name":"Jan","full_name":"Niemann, Jan"}],"user_id":"58338"},{"issue":"2301","publication":"Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences","abstract":[{"lang":"eng","text":"To model dynamical systems on networks with higher-order (non-pairwise) interactions, we recently introduced a new class of ordinary differential equations (ODEs) on hypernetworks. Here, we consider one-parameter synchrony breaking bifurcations in such ODEs. We call a synchrony breaking steady-state branch ‘reluctant’ if it is tangent to a synchrony space, but does not lie inside it. We prove that reluctant synchrony breaking is ubiquitous in hypernetwork systems, by constructing a large class of examples that support it. We also give an explicit formula for the order of tangency to the synchrony space of a reluctant steady-state branch."}],"file":[{"content_type":"application/pdf","file_id":"59172","date_updated":"2025-03-27T10:19:48Z","relation":"main_file","file_size":820435,"access_level":"open_access","file_name":"higher-order-interactions-lead-to-reluctant-synchrony-breaking.pdf","date_created":"2025-03-27T10:16:20Z","creator":"svdg"}],"date_created":"2025-03-27T10:15:06Z","type":"journal_article","keyword":["higher-order interactions","synchrony breaking","network dynamics","coupled cell systems"],"department":[{"_id":"101"}],"title":"Higher-order interactions lead to ‘reluctant’ synchrony breaking","year":"2024","publication_identifier":{"issn":["1364-5021","1471-2946"]},"author":[{"id":"97359","first_name":"Sören","orcid":"0000-0002-8054-2058","last_name":"von der Gracht","full_name":"von der Gracht, Sören"},{"first_name":"Eddie","last_name":"Nijholt","full_name":"Nijholt, Eddie"},{"full_name":"Rink, Bob","last_name":"Rink","first_name":"Bob"}],"publication_status":"published","date_updated":"2025-03-27T10:19:56Z","intvolume":"       480","language":[{"iso":"eng"}],"doi":"10.1098/rspa.2023.0945","file_date_updated":"2025-03-27T10:19:48Z","citation":{"mla":"von der Gracht, Sören, et al. “Higher-Order Interactions Lead to ‘Reluctant’ Synchrony Breaking.” <i>Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences</i>, vol. 480, no. 2301, The Royal Society, 2024, doi:<a href=\"https://doi.org/10.1098/rspa.2023.0945\">10.1098/rspa.2023.0945</a>.","bibtex":"@article{von der Gracht_Nijholt_Rink_2024, title={Higher-order interactions lead to ‘reluctant’ synchrony breaking}, volume={480}, DOI={<a href=\"https://doi.org/10.1098/rspa.2023.0945\">10.1098/rspa.2023.0945</a>}, number={2301}, journal={Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences}, publisher={The Royal Society}, author={von der Gracht, Sören and Nijholt, Eddie and Rink, Bob}, year={2024} }","ama":"von der Gracht S, Nijholt E, Rink B. Higher-order interactions lead to ‘reluctant’ synchrony breaking. <i>Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences</i>. 2024;480(2301). doi:<a href=\"https://doi.org/10.1098/rspa.2023.0945\">10.1098/rspa.2023.0945</a>","ieee":"S. von der Gracht, E. Nijholt, and B. Rink, “Higher-order interactions lead to ‘reluctant’ synchrony breaking,” <i>Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences</i>, vol. 480, no. 2301, 2024, doi: <a href=\"https://doi.org/10.1098/rspa.2023.0945\">10.1098/rspa.2023.0945</a>.","apa":"von der Gracht, S., Nijholt, E., &#38; Rink, B. (2024). Higher-order interactions lead to ‘reluctant’ synchrony breaking. <i>Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences</i>, <i>480</i>(2301). <a href=\"https://doi.org/10.1098/rspa.2023.0945\">https://doi.org/10.1098/rspa.2023.0945</a>","short":"S. von der Gracht, E. Nijholt, B. Rink, Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences 480 (2024).","chicago":"Gracht, Sören von der, Eddie Nijholt, and Bob Rink. “Higher-Order Interactions Lead to ‘Reluctant’ Synchrony Breaking.” <i>Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences</i> 480, no. 2301 (2024). <a href=\"https://doi.org/10.1098/rspa.2023.0945\">https://doi.org/10.1098/rspa.2023.0945</a>."},"oa":"1","status":"public","has_accepted_license":"1","publisher":"The Royal Society","_id":"59171","user_id":"97359","ddc":["510"],"volume":480},{"publication":"Beiträge zum Mathematikuntericht 2024. 57. Jahrestagung der Gesellschaft für Didaktik der Mathematik","citation":{"bibtex":"@inbook{Häsel-Weide_Nührenbörger_2024, title={ Praktiken der Förderung im inklusiven Mathematikunterricht}, DOI={<a href=\"https://doi.ohttps://doi.org/10.37626/GA9783959872782.0 rg/10.37626/GA9783959872782.0\">https://doi.ohttps://doi.org/10.37626/GA9783959872782.0 rg/10.37626/GA9783959872782.0</a>}, booktitle={Beiträge zum Mathematikuntericht 2024. 57. Jahrestagung der Gesellschaft für Didaktik der Mathematik}, author={Häsel-Weide, Uta and Nührenbörger, M.}, editor={Ebers, P. and Rösken, F. and Barzel, B. and Büchter, A. and Schacht, F. and Scherer, P.}, year={2024}, pages={207–210} }","ama":"Häsel-Weide U, Nührenbörger M.  Praktiken der Förderung im inklusiven Mathematikunterricht. In: Ebers P, Rösken F, Barzel B, Büchter A, Schacht F, Scherer P, eds. <i>Beiträge zum Mathematikuntericht 2024. 57. Jahrestagung der Gesellschaft für Didaktik der Mathematik</i>. ; 2024:207-210. doi:<a href=\"https://doi.ohttps://doi.org/10.37626/GA9783959872782.0 rg/10.37626/GA9783959872782.0\">https://doi.ohttps://doi.org/10.37626/GA9783959872782.0 rg/10.37626/GA9783959872782.0</a>","mla":"Häsel-Weide, Uta, and M. Nührenbörger. “ Praktiken der Förderung im inklusiven Mathematikunterricht.” <i>Beiträge zum Mathematikuntericht 2024. 57. Jahrestagung der Gesellschaft für Didaktik der Mathematik</i>, edited by P. Ebers et al., 2024, pp. 207–10, doi:<a href=\"https://doi.ohttps://doi.org/10.37626/GA9783959872782.0 rg/10.37626/GA9783959872782.0\">https://doi.ohttps://doi.org/10.37626/GA9783959872782.0 rg/10.37626/GA9783959872782.0</a>.","short":"U. Häsel-Weide, M. Nührenbörger, in: P. Ebers, F. Rösken, B. Barzel, A. Büchter, F. Schacht, P. Scherer (Eds.), Beiträge zum Mathematikuntericht 2024. 57. Jahrestagung der Gesellschaft für Didaktik der Mathematik, 2024, pp. 207–210.","chicago":"Häsel-Weide, Uta, and M. Nührenbörger. “ Praktiken der Förderung im inklusiven Mathematikunterricht.” In <i>Beiträge zum Mathematikuntericht 2024. 57. Jahrestagung der Gesellschaft für Didaktik der Mathematik</i>, edited by P. Ebers, F. Rösken, B. Barzel, A. Büchter, F. Schacht, and P. Scherer, 207–10, 2024. <a href=\"https://doi.ohttps://doi.org/10.37626/GA9783959872782.0 rg/10.37626/GA9783959872782.0\">https://doi.ohttps://doi.org/10.37626/GA9783959872782.0 rg/10.37626/GA9783959872782.0</a>.","ieee":"U. Häsel-Weide and M. Nührenbörger, “ Praktiken der Förderung im inklusiven Mathematikunterricht,” in <i>Beiträge zum Mathematikuntericht 2024. 57. Jahrestagung der Gesellschaft für Didaktik der Mathematik</i>, P. Ebers, F. Rösken, B. Barzel, A. Büchter, F. Schacht, and P. Scherer, Eds. 2024, pp. 207–210.","apa":"Häsel-Weide, U., &#38; Nührenbörger, M. (2024).  Praktiken der Förderung im inklusiven Mathematikunterricht. In P. Ebers, F. Rösken, B. Barzel, A. Büchter, F. Schacht, &#38; P. Scherer (Eds.), <i>Beiträge zum Mathematikuntericht 2024. 57. Jahrestagung der Gesellschaft für Didaktik der Mathematik</i> (pp. 207–210). <a href=\"https://doi.ohttps://doi.org/10.37626/GA9783959872782.0 rg/10.37626/GA9783959872782.0\">https://doi.ohttps://doi.org/10.37626/GA9783959872782.0 rg/10.37626/GA9783959872782.0</a>"},"date_created":"2025-04-15T10:06:42Z","type":"book_chapter","department":[{"_id":"543"}],"status":"public","title":" Praktiken der Förderung im inklusiven Mathematikunterricht","year":"2024","author":[{"id":"60267","last_name":"Häsel-Weide","first_name":"Uta","orcid":"0000-0001-6278-4240","full_name":"Häsel-Weide, Uta"},{"last_name":"Nührenbörger","first_name":"M.","full_name":"Nührenbörger, M."}],"date_updated":"2025-09-08T07:32:38Z","page":"207-210","_id":"59581","language":[{"iso":"ger"}],"doi":"https://doi.ohttps://doi.org/10.37626/GA9783959872782.0 rg/10.37626/GA9783959872782.0","user_id":"44184","editor":[{"full_name":"Ebers, P.","last_name":"Ebers","first_name":"P."},{"last_name":"Rösken","first_name":"F.","full_name":"Rösken, F."},{"full_name":"Barzel, B.","first_name":"B.","last_name":"Barzel"},{"full_name":"Büchter, A.","first_name":"A.","last_name":"Büchter"},{"full_name":"Schacht, F.","last_name":"Schacht","first_name":"F."},{"last_name":"Scherer","first_name":"P.","full_name":"Scherer, P."}]},{"department":[{"_id":"548"}],"type":"preprint","date_created":"2025-02-28T10:32:30Z","external_id":{"arxiv":["2411.19782"]},"project":[{"_id":"356","name":"TRR 358; TP B02: Spektraltheorie in höherem Rang und unendlichem Volumen"}],"abstract":[{"lang":"eng","text":"We prove that the Patterson-Sullivan and Wigner distributions on the unit\r\nsphere bundle of a convex-cocompact hyperbolic surface are asymptotically\r\nidentical. This generalizes results in the compact case by\r\nAnantharaman-Zelditch and Hansen-Hilgert-Schr\\\"oder."}],"citation":{"bibtex":"@article{Delarue_Palmirotta_2024, title={Patterson-Sullivan and Wigner distributions of convex-cocompact  hyperbolic surfaces}, journal={arXiv:2411.19782}, author={Delarue, Benjamin and Palmirotta, Guendalina}, year={2024} }","ama":"Delarue B, Palmirotta G. Patterson-Sullivan and Wigner distributions of convex-cocompact  hyperbolic surfaces. <i>arXiv:241119782</i>. Published online 2024.","mla":"Delarue, Benjamin, and Guendalina Palmirotta. “Patterson-Sullivan and Wigner Distributions of Convex-Cocompact  Hyperbolic Surfaces.” <i>ArXiv:2411.19782</i>, 2024.","chicago":"Delarue, Benjamin, and Guendalina Palmirotta. “Patterson-Sullivan and Wigner Distributions of Convex-Cocompact  Hyperbolic Surfaces.” <i>ArXiv:2411.19782</i>, 2024.","short":"B. Delarue, G. Palmirotta, ArXiv:2411.19782 (2024).","ieee":"B. Delarue and G. Palmirotta, “Patterson-Sullivan and Wigner distributions of convex-cocompact  hyperbolic surfaces,” <i>arXiv:2411.19782</i>. 2024.","apa":"Delarue, B., &#38; Palmirotta, G. (2024). Patterson-Sullivan and Wigner distributions of convex-cocompact  hyperbolic surfaces. In <i>arXiv:2411.19782</i>."},"publication":"arXiv:2411.19782","user_id":"109467","_id":"58873","language":[{"iso":"eng"}],"date_updated":"2026-03-30T12:01:12Z","author":[{"id":"70575","full_name":"Delarue, Benjamin","last_name":"Delarue","first_name":"Benjamin"},{"full_name":"Palmirotta, Guendalina","last_name":"Palmirotta","first_name":"Guendalina","id":"109467"}],"year":"2024","title":"Patterson-Sullivan and Wigner distributions of convex-cocompact  hyperbolic surfaces","status":"public"},{"citation":{"ama":"Papageorgiou E. Asymptotic behavior of solutions to the extension problem for the fractional Laplacian on noncompact symmetric spaces. <i>Journal of Evolution Equations</i>. 2024;24(2). doi:<a href=\"https://doi.org/10.1007/s00028-024-00959-6\">10.1007/s00028-024-00959-6</a>","bibtex":"@article{Papageorgiou_2024, title={Asymptotic behavior of solutions to the extension problem for the fractional Laplacian on noncompact symmetric spaces}, volume={24}, DOI={<a href=\"https://doi.org/10.1007/s00028-024-00959-6\">10.1007/s00028-024-00959-6</a>}, number={234}, journal={Journal of Evolution Equations}, publisher={Springer Science and Business Media LLC}, author={Papageorgiou, Efthymia}, year={2024} }","mla":"Papageorgiou, Efthymia. “Asymptotic Behavior of Solutions to the Extension Problem for the Fractional Laplacian on Noncompact Symmetric Spaces.” <i>Journal of Evolution Equations</i>, vol. 24, no. 2, 34, Springer Science and Business Media LLC, 2024, doi:<a href=\"https://doi.org/10.1007/s00028-024-00959-6\">10.1007/s00028-024-00959-6</a>.","short":"E. Papageorgiou, Journal of Evolution Equations 24 (2024).","chicago":"Papageorgiou, Efthymia. “Asymptotic Behavior of Solutions to the Extension Problem for the Fractional Laplacian on Noncompact Symmetric Spaces.” <i>Journal of Evolution Equations</i> 24, no. 2 (2024). <a href=\"https://doi.org/10.1007/s00028-024-00959-6\">https://doi.org/10.1007/s00028-024-00959-6</a>.","apa":"Papageorgiou, E. (2024). Asymptotic behavior of solutions to the extension problem for the fractional Laplacian on noncompact symmetric spaces. <i>Journal of Evolution Equations</i>, <i>24</i>(2), Article 34. <a href=\"https://doi.org/10.1007/s00028-024-00959-6\">https://doi.org/10.1007/s00028-024-00959-6</a>","ieee":"E. Papageorgiou, “Asymptotic behavior of solutions to the extension problem for the fractional Laplacian on noncompact symmetric spaces,” <i>Journal of Evolution Equations</i>, vol. 24, no. 2, Art. no. 34, 2024, doi: <a href=\"https://doi.org/10.1007/s00028-024-00959-6\">10.1007/s00028-024-00959-6</a>."},"volume":24,"user_id":"100325","_id":"53542","publisher":"Springer Science and Business Media LLC","status":"public","department":[{"_id":"555"}],"keyword":["Mathematics (miscellaneous)"],"type":"journal_article","date_created":"2024-04-17T13:18:30Z","abstract":[{"lang":"eng","text":"<jats:title>Abstract</jats:title><jats:p>This work deals with the extension problem for the fractional Laplacian on Riemannian symmetric spaces <jats:italic>G</jats:italic>/<jats:italic>K</jats:italic> of noncompact type and of general rank, which gives rise to a family of convolution operators, including the Poisson operator. More precisely, motivated by Euclidean results for the Poisson semigroup, we study the long-time asymptotic behavior of solutions to the extension problem for <jats:inline-formula><jats:alternatives><jats:tex-math>$$L^1$$</jats:tex-math><mml:math xmlns:mml=\"http://www.w3.org/1998/Math/MathML\">\r\n                  <mml:msup>\r\n                    <mml:mi>L</mml:mi>\r\n                    <mml:mn>1</mml:mn>\r\n                  </mml:msup>\r\n                </mml:math></jats:alternatives></jats:inline-formula> initial data. In the case of the Laplace–Beltrami operator, we show that if the initial data are bi-<jats:italic>K</jats:italic>-invariant, then the solution to the extension problem behaves asymptotically as the mass times the fundamental solution, but this convergence may break down in the non-bi-<jats:italic>K</jats:italic>-invariant case. In the second part, we investigate the long-time asymptotic behavior of the extension problem associated with the so-called distinguished Laplacian on <jats:italic>G</jats:italic>/<jats:italic>K</jats:italic>. In this case, we observe phenomena which are similar to the Euclidean setting for the Poisson semigroup, such as <jats:inline-formula><jats:alternatives><jats:tex-math>$$L^1$$</jats:tex-math><mml:math xmlns:mml=\"http://www.w3.org/1998/Math/MathML\">\r\n                  <mml:msup>\r\n                    <mml:mi>L</mml:mi>\r\n                    <mml:mn>1</mml:mn>\r\n                  </mml:msup>\r\n                </mml:math></jats:alternatives></jats:inline-formula> asymptotic convergence without the assumption of bi-<jats:italic>K</jats:italic>-invariance.</jats:p>"}],"issue":"2","publication":"Journal of Evolution Equations","doi":"10.1007/s00028-024-00959-6","language":[{"iso":"eng"}],"article_number":"34","intvolume":"        24","date_updated":"2026-07-03T12:35:54Z","publication_status":"published","publication_identifier":{"issn":["1424-3199","1424-3202"]},"author":[{"id":"100325","full_name":"Papageorgiou, Efthymia","first_name":"Efthymia","last_name":"Papageorgiou"}],"title":"Asymptotic behavior of solutions to the extension problem for the fractional Laplacian on noncompact symmetric spaces","year":"2024"},{"intvolume":"       149","publication_status":"published","date_updated":"2023-01-07T12:01:58Z","author":[{"full_name":"Peitz, Sebastian","orcid":"0000-0002-3389-793X","last_name":"Peitz","first_name":"Sebastian","id":"47427"},{"id":"32829","full_name":"Bieker, Katharina","first_name":"Katharina","last_name":"Bieker"}],"year":"2023","title":"On the Universal Transformation of Data-Driven Models to Control Systems","doi":"10.1016/j.automatica.2022.110840","language":[{"iso":"eng"}],"article_number":"110840","main_file_link":[{"open_access":"1","url":"https://www.sciencedirect.com/science/article/pii/S0005109822007075/pdfft?isDTMRedir=true&download=true"}],"abstract":[{"lang":"eng","text":"As in almost every other branch of science, the major advances in data\r\nscience and machine learning have also resulted in significant improvements\r\nregarding the modeling and simulation of nonlinear dynamical systems. It is\r\nnowadays possible to make accurate medium to long-term predictions of highly\r\ncomplex systems such as the weather, the dynamics within a nuclear fusion\r\nreactor, of disease models or the stock market in a very efficient manner. In\r\nmany cases, predictive methods are advertised to ultimately be useful for\r\ncontrol, as the control of high-dimensional nonlinear systems is an engineering\r\ngrand challenge with huge potential in areas such as clean and efficient energy\r\nproduction, or the development of advanced medical devices. However, the\r\nquestion of how to use a predictive model for control is often left unanswered\r\ndue to the associated challenges, namely a significantly higher system\r\ncomplexity, the requirement of much larger data sets and an increased and often\r\nproblem-specific modeling effort. To solve these issues, we present a universal\r\nframework (which we call QuaSiModO:\r\nQuantization-Simulation-Modeling-Optimization) to transform arbitrary\r\npredictive models into control systems and use them for feedback control. The\r\nadvantages of our approach are a linear increase in data requirements with\r\nrespect to the control dimension, performance guarantees that rely exclusively\r\non the accuracy of the predictive model, and only little prior knowledge\r\nrequirements in control theory to solve complex control problems. In particular\r\nthe latter point is of key importance to enable a large number of researchers\r\nand practitioners to exploit the ever increasing capabilities of predictive\r\nmodels for control in a straight-forward and systematic fashion."}],"publication":"Automatica","department":[{"_id":"101"},{"_id":"655"}],"type":"journal_article","date_created":"2021-02-10T07:04:15Z","status":"public","volume":149,"user_id":"47427","publisher":"Elsevier","_id":"21199","project":[{"_id":"52","name":"PC2: Computing Resources Provided by the Paderborn Center for Parallel Computing"}],"citation":{"bibtex":"@article{Peitz_Bieker_2023, title={On the Universal Transformation of Data-Driven Models to Control Systems}, volume={149}, DOI={<a href=\"https://doi.org/10.1016/j.automatica.2022.110840\">10.1016/j.automatica.2022.110840</a>}, number={110840}, journal={Automatica}, publisher={Elsevier}, author={Peitz, Sebastian and Bieker, Katharina}, year={2023} }","ama":"Peitz S, Bieker K. On the Universal Transformation of Data-Driven Models to Control Systems. <i>Automatica</i>. 2023;149. doi:<a href=\"https://doi.org/10.1016/j.automatica.2022.110840\">10.1016/j.automatica.2022.110840</a>","mla":"Peitz, Sebastian, and Katharina Bieker. “On the Universal Transformation of Data-Driven Models to Control Systems.” <i>Automatica</i>, vol. 149, 110840, Elsevier, 2023, doi:<a href=\"https://doi.org/10.1016/j.automatica.2022.110840\">10.1016/j.automatica.2022.110840</a>.","short":"S. Peitz, K. Bieker, Automatica 149 (2023).","chicago":"Peitz, Sebastian, and Katharina Bieker. “On the Universal Transformation of Data-Driven Models to Control Systems.” <i>Automatica</i> 149 (2023). <a href=\"https://doi.org/10.1016/j.automatica.2022.110840\">https://doi.org/10.1016/j.automatica.2022.110840</a>.","ieee":"S. Peitz and K. Bieker, “On the Universal Transformation of Data-Driven Models to Control Systems,” <i>Automatica</i>, vol. 149, Art. no. 110840, 2023, doi: <a href=\"https://doi.org/10.1016/j.automatica.2022.110840\">10.1016/j.automatica.2022.110840</a>.","apa":"Peitz, S., &#38; Bieker, K. (2023). On the Universal Transformation of Data-Driven Models to Control Systems. <i>Automatica</i>, <i>149</i>, Article 110840. <a href=\"https://doi.org/10.1016/j.automatica.2022.110840\">https://doi.org/10.1016/j.automatica.2022.110840</a>"},"oa":"1"},{"date_created":"2023-08-30T09:24:29Z","type":"conference","department":[{"_id":"543"}],"publication":"International Symposium in Elementary Mathematics Teaching. Proceedings: New Directions in Elementary Mathematics Education","citation":{"chicago":"Wallner, Melina, and Uta Häsel-Weide. “Conceptual Understanding of Third Grades for Axial Symmetry.” In <i>International Symposium in Elementary Mathematics Teaching. Proceedings: New Directions in Elementary Mathematics Education</i>, edited by J. Novotna and H. Moraova, 346–54. Charles University, 2023.","short":"M. Wallner, U. Häsel-Weide, in: J. Novotna, H. Moraova (Eds.), International Symposium in Elementary Mathematics Teaching. Proceedings: New Directions in Elementary Mathematics Education, Charles University, 2023, pp. 346–354.","ama":"Wallner M, Häsel-Weide U. Conceptual understanding of third grades for axial symmetry. In: Novotna J, Moraova H, eds. <i>International Symposium in Elementary Mathematics Teaching. Proceedings: New Directions in Elementary Mathematics Education</i>. Charles University; 2023:346-354.","bibtex":"@inproceedings{Wallner_Häsel-Weide_2023, title={Conceptual understanding of third grades for axial symmetry}, booktitle={International Symposium in Elementary Mathematics Teaching. Proceedings: New Directions in Elementary Mathematics Education}, publisher={Charles University}, author={Wallner, Melina and Häsel-Weide, Uta}, editor={Novotna, J. and Moraova, H.}, year={2023}, pages={346–354} }","mla":"Wallner, Melina, and Uta Häsel-Weide. “Conceptual Understanding of Third Grades for Axial Symmetry.” <i>International Symposium in Elementary Mathematics Teaching. Proceedings: New Directions in Elementary Mathematics Education</i>, edited by J. Novotna and H. Moraova, Charles University, 2023, pp. 346–54.","apa":"Wallner, M., &#38; Häsel-Weide, U. (2023). Conceptual understanding of third grades for axial symmetry. In J. Novotna &#38; H. Moraova (Eds.), <i>International Symposium in Elementary Mathematics Teaching. Proceedings: New Directions in Elementary Mathematics Education</i> (pp. 346–354). Charles University.","ieee":"M. Wallner and U. Häsel-Weide, “Conceptual understanding of third grades for axial symmetry,” in <i>International Symposium in Elementary Mathematics Teaching. Proceedings: New Directions in Elementary Mathematics Education</i>, Prag, 2023, pp. 346–354."},"main_file_link":[{"url":"https://semt.cz/proceedings/semt-23.pdf"}],"page":"346-354","language":[{"iso":"eng"}],"_id":"46756","publisher":"Charles University","user_id":"45445","editor":[{"last_name":"Novotna","first_name":"J.","full_name":"Novotna, J."},{"full_name":"Moraova, H.","last_name":"Moraova","first_name":"H."}],"title":"Conceptual understanding of third grades for axial symmetry","status":"public","year":"2023","conference":{"location":"Prag","name":"International Symposium in Elementary Mathematics Teaching"},"author":[{"id":"45445","last_name":"Wallner","first_name":"Melina","full_name":"Wallner, Melina"},{"full_name":"Häsel-Weide, Uta","last_name":"Häsel-Weide","first_name":"Uta","id":"60267"}],"date_updated":"2023-11-24T16:33:37Z"},{"external_id":{"arxiv":["2302.08974"]},"citation":{"chicago":"Gracht, Sören von der, Eddie Nijholt, and Bob Rink. “Hypernetworks: Cluster Synchronization Is a Higher-Order Effect.” <i>SIAM Journal on Applied Mathematics</i> 83, no. 6 (2023): 2329–53. <a href=\"https://doi.org/10.1137/23m1561075\">https://doi.org/10.1137/23m1561075</a>.","short":"S. von der Gracht, E. Nijholt, B. Rink, SIAM Journal on Applied Mathematics 83 (2023) 2329–2353.","ieee":"S. von der Gracht, E. Nijholt, and B. Rink, “Hypernetworks: Cluster Synchronization Is a Higher-Order Effect,” <i>SIAM Journal on Applied Mathematics</i>, vol. 83, no. 6, pp. 2329–2353, 2023, doi: <a href=\"https://doi.org/10.1137/23m1561075\">10.1137/23m1561075</a>.","apa":"von der Gracht, S., Nijholt, E., &#38; Rink, B. (2023). Hypernetworks: Cluster Synchronization Is a Higher-Order Effect. <i>SIAM Journal on Applied Mathematics</i>, <i>83</i>(6), 2329–2353. <a href=\"https://doi.org/10.1137/23m1561075\">https://doi.org/10.1137/23m1561075</a>","bibtex":"@article{von der Gracht_Nijholt_Rink_2023, title={Hypernetworks: Cluster Synchronization Is a Higher-Order Effect}, volume={83}, DOI={<a href=\"https://doi.org/10.1137/23m1561075\">10.1137/23m1561075</a>}, number={6}, journal={SIAM Journal on Applied Mathematics}, publisher={Society for Industrial &#38; Applied Mathematics (SIAM)}, author={von der Gracht, Sören and Nijholt, Eddie and Rink, Bob}, year={2023}, pages={2329–2353} }","ama":"von der Gracht S, Nijholt E, Rink B. Hypernetworks: Cluster Synchronization Is a Higher-Order Effect. <i>SIAM Journal on Applied Mathematics</i>. 2023;83(6):2329-2353. doi:<a href=\"https://doi.org/10.1137/23m1561075\">10.1137/23m1561075</a>","mla":"von der Gracht, Sören, et al. “Hypernetworks: Cluster Synchronization Is a Higher-Order Effect.” <i>SIAM Journal on Applied Mathematics</i>, vol. 83, no. 6, Society for Industrial &#38; Applied Mathematics (SIAM), 2023, pp. 2329–53, doi:<a href=\"https://doi.org/10.1137/23m1561075\">10.1137/23m1561075</a>."},"_id":"49326","publisher":"Society for Industrial & Applied Mathematics (SIAM)","page":"2329-2353","volume":83,"user_id":"97359","status":"public","date_created":"2023-11-29T10:50:05Z","department":[{"_id":"101"}],"keyword":["Applied Mathematics"],"type":"journal_article","issue":"6","publication":"SIAM Journal on Applied Mathematics","abstract":[{"lang":"eng","text":"Many networked systems are governed by non-pairwise interactions between nodes. The resulting higher-order interaction structure can then be encoded by means of a hypernetwork. In this paper we consider dynamical systems on hypernetworks by defining a class of admissible maps for every such hypernetwork. We explain how to classify robust cluster synchronization patterns on hypernetworks by finding balanced partitions, and we generalize the concept of a graph fibration to the hypernetwork context. We also show that robust synchronization patterns are only fully determined by polynomial admissible maps of high order. This means that, unlike in dyadic networks, cluster synchronization on hypernetworks is a higher-order, i.e., nonlinear, effect. We give a formula, in terms of the order of the hypernetwork, for the degree of the polynomial admissible maps that determine robust synchronization patterns. We also demonstrate that this degree is optimal by investigating a class of examples. We conclude by demonstrating how this effect may cause remarkable synchrony breaking bifurcations that occur at high polynomial degree."}],"language":[{"iso":"eng"}],"doi":"10.1137/23m1561075","publication_identifier":{"issn":["0036-1399","1095-712X"]},"author":[{"id":"97359","full_name":"von der Gracht, Sören","last_name":"von der Gracht","orcid":"0000-0002-8054-2058","first_name":"Sören"},{"first_name":"Eddie","last_name":"Nijholt","full_name":"Nijholt, Eddie"},{"last_name":"Rink","first_name":"Bob","full_name":"Rink, Bob"}],"year":"2023","title":"Hypernetworks: Cluster Synchronization Is a Higher-Order Effect","intvolume":"        83","date_updated":"2023-11-29T10:52:23Z","publication_status":"published"},{"publication":"La Matematica","citation":{"ieee":"J. Klüners and J. Wang, “Idélic Approach in Enumerating Heisenberg Extensions,” <i>La Matematica</i>, 2023, doi: <a href=\"https://doi.org/10.1007/s44007-023-00067-w\">10.1007/s44007-023-00067-w</a>.","mla":"Klüners, Jürgen, and Jiuya Wang. “Idélic Approach in Enumerating Heisenberg Extensions.” <i>La Matematica</i>, Springer Science and Business Media LLC, 2023, doi:<a href=\"https://doi.org/10.1007/s44007-023-00067-w\">10.1007/s44007-023-00067-w</a>.","apa":"Klüners, J., &#38; Wang, J. (2023). Idélic Approach in Enumerating Heisenberg Extensions. <i>La Matematica</i>. <a href=\"https://doi.org/10.1007/s44007-023-00067-w\">https://doi.org/10.1007/s44007-023-00067-w</a>","bibtex":"@article{Klüners_Wang_2023, title={Idélic Approach in Enumerating Heisenberg Extensions}, DOI={<a href=\"https://doi.org/10.1007/s44007-023-00067-w\">10.1007/s44007-023-00067-w</a>}, journal={La Matematica}, publisher={Springer Science and Business Media LLC}, author={Klüners, Jürgen and Wang, Jiuya}, year={2023} }","chicago":"Klüners, Jürgen, and Jiuya Wang. “Idélic Approach in Enumerating Heisenberg Extensions.” <i>La Matematica</i>, 2023. <a href=\"https://doi.org/10.1007/s44007-023-00067-w\">https://doi.org/10.1007/s44007-023-00067-w</a>.","short":"J. Klüners, J. Wang, La Matematica (2023).","ama":"Klüners J, Wang J. Idélic Approach in Enumerating Heisenberg Extensions. <i>La Matematica</i>. Published online 2023. doi:<a href=\"https://doi.org/10.1007/s44007-023-00067-w\">10.1007/s44007-023-00067-w</a>"},"date_created":"2023-12-01T09:23:59Z","type":"journal_article","department":[{"_id":"102"}],"status":"public","title":"Idélic Approach in Enumerating Heisenberg Extensions","year":"2023","author":[{"full_name":"Klüners, Jürgen","first_name":"Jürgen","last_name":"Klüners","id":"21202"},{"full_name":"Wang, Jiuya","first_name":"Jiuya","last_name":"Wang"}],"publication_identifier":{"issn":["2730-9657"]},"publication_status":"published","date_updated":"2023-12-06T09:50:43Z","language":[{"iso":"eng"}],"_id":"49372","publisher":"Springer Science and Business Media LLC","user_id":"21202","doi":"10.1007/s44007-023-00067-w"},{"date_created":"2023-12-04T09:45:04Z","department":[{"_id":"543"}],"type":"journal_article","citation":{"ama":"Seitz S, Häsel-Weide U, Wilke Y, Wallner M. Expertise and professionalism for inclusive (mathematics) teaching and learning: reflections on findings from interdisciplinary professionalisation research. <i>Teachers and Teaching</i>. Published online 2023:1-16. doi:<a href=\"https://doi.org/10.1080/13540602.2023.2284876 \">https://doi.org/10.1080/13540602.2023.2284876 </a>","short":"S. Seitz, U. Häsel-Weide, Y. Wilke, M. Wallner, Teachers and Teaching (2023) 1–16.","chicago":"Seitz, Simone, Uta Häsel-Weide, Yannik Wilke, and Melina Wallner. “Expertise and Professionalism for Inclusive (Mathematics) Teaching and Learning: Reflections on Findings from Interdisciplinary Professionalisation Research.” <i>Teachers and Teaching</i>, 2023, 1–16. <a href=\"https://doi.org/10.1080/13540602.2023.2284876 \">https://doi.org/10.1080/13540602.2023.2284876 </a>.","bibtex":"@article{Seitz_Häsel-Weide_Wilke_Wallner_2023, title={Expertise and professionalism for inclusive (mathematics) teaching and learning: reflections on findings from interdisciplinary professionalisation research}, DOI={<a href=\"https://doi.org/10.1080/13540602.2023.2284876 \">https://doi.org/10.1080/13540602.2023.2284876 </a>}, journal={Teachers and Teaching}, author={Seitz, Simone and Häsel-Weide, Uta and Wilke, Yannik and Wallner, Melina}, year={2023}, pages={1–16} }","mla":"Seitz, Simone, et al. “Expertise and Professionalism for Inclusive (Mathematics) Teaching and Learning: Reflections on Findings from Interdisciplinary Professionalisation Research.” <i>Teachers and Teaching</i>, 2023, pp. 1–16, doi:<a href=\"https://doi.org/10.1080/13540602.2023.2284876 \">https://doi.org/10.1080/13540602.2023.2284876 </a>.","apa":"Seitz, S., Häsel-Weide, U., Wilke, Y., &#38; Wallner, M. (2023). Expertise and professionalism for inclusive (mathematics) teaching and learning: reflections on findings from interdisciplinary professionalisation research. <i>Teachers and Teaching</i>, 1–16. <a href=\"https://doi.org/10.1080/13540602.2023.2284876 \">https://doi.org/10.1080/13540602.2023.2284876 </a>","ieee":"S. Seitz, U. Häsel-Weide, Y. Wilke, and M. Wallner, “Expertise and professionalism for inclusive (mathematics) teaching and learning: reflections on findings from interdisciplinary professionalisation research,” <i>Teachers and Teaching</i>, pp. 1–16, 2023, doi: <a href=\"https://doi.org/10.1080/13540602.2023.2284876 \">https://doi.org/10.1080/13540602.2023.2284876 </a>."},"publication":"Teachers and Teaching","language":[{"iso":"eng"}],"_id":"49425","page":"1-16","user_id":"45445","doi":"https://doi.org/10.1080/13540602.2023.2284876 ","author":[{"full_name":"Seitz, Simone","first_name":"Simone","last_name":"Seitz"},{"id":"60267","first_name":"Uta","last_name":"Häsel-Weide","full_name":"Häsel-Weide, Uta"},{"full_name":"Wilke, Yannik","first_name":"Yannik","last_name":"Wilke"},{"last_name":"Wallner","first_name":"Melina","full_name":"Wallner, Melina","id":"45445"}],"title":"Expertise and professionalism for inclusive (mathematics) teaching and learning: reflections on findings from interdisciplinary professionalisation research","year":"2023","status":"public","date_updated":"2023-12-13T12:51:03Z"},{"oa":"1","external_id":{"arxiv":["2211.10830"]},"quality_controlled":"1","file_date_updated":"2023-04-17T08:05:55Z","citation":{"mla":"Lishkova, Yana, et al. “Discrete Lagrangian Neural Networks with Automatic Symmetry Discovery.” <i>IFAC-PapersOnLine</i>, vol. 56, no. 2, Elsevier, 2023, pp. 3203–10, doi:<a href=\"https://doi.org/10.1016/j.ifacol.2023.10.1457\">10.1016/j.ifacol.2023.10.1457</a>.","ama":"Lishkova Y, Scherer P, Ridderbusch S, et al. Discrete Lagrangian Neural Networks with Automatic Symmetry Discovery. In: <i>IFAC-PapersOnLine</i>. Vol 56. Elsevier; 2023:3203-3210. doi:<a href=\"https://doi.org/10.1016/j.ifacol.2023.10.1457\">10.1016/j.ifacol.2023.10.1457</a>","bibtex":"@inproceedings{Lishkova_Scherer_Ridderbusch_Jamnik_Liò_Ober-Blöbaum_Offen_2023, title={Discrete Lagrangian Neural Networks with Automatic Symmetry Discovery}, volume={56}, DOI={<a href=\"https://doi.org/10.1016/j.ifacol.2023.10.1457\">10.1016/j.ifacol.2023.10.1457</a>}, number={2}, booktitle={IFAC-PapersOnLine}, publisher={Elsevier}, author={Lishkova, Yana and Scherer, Paul and Ridderbusch, Steffen and Jamnik, Mateja and Liò, Pietro and Ober-Blöbaum, Sina and Offen, Christian}, year={2023}, pages={3203–3210} }","apa":"Lishkova, Y., Scherer, P., Ridderbusch, S., Jamnik, M., Liò, P., Ober-Blöbaum, S., &#38; Offen, C. (2023). Discrete Lagrangian Neural Networks with Automatic Symmetry Discovery. <i>IFAC-PapersOnLine</i>, <i>56</i>(2), 3203–3210. <a href=\"https://doi.org/10.1016/j.ifacol.2023.10.1457\">https://doi.org/10.1016/j.ifacol.2023.10.1457</a>","ieee":"Y. Lishkova <i>et al.</i>, “Discrete Lagrangian Neural Networks with Automatic Symmetry Discovery,” in <i>IFAC-PapersOnLine</i>,  Yokohama, Japan, 2023, vol. 56, no. 2, pp. 3203–3210, doi: <a href=\"https://doi.org/10.1016/j.ifacol.2023.10.1457\">10.1016/j.ifacol.2023.10.1457</a>.","chicago":"Lishkova, Yana, Paul Scherer, Steffen Ridderbusch, Mateja Jamnik, Pietro Liò, Sina Ober-Blöbaum, and Christian Offen. “Discrete Lagrangian Neural Networks with Automatic Symmetry Discovery.” In <i>IFAC-PapersOnLine</i>, 56:3203–10. Elsevier, 2023. <a href=\"https://doi.org/10.1016/j.ifacol.2023.10.1457\">https://doi.org/10.1016/j.ifacol.2023.10.1457</a>.","short":"Y. Lishkova, P. Scherer, S. Ridderbusch, M. Jamnik, P. Liò, S. Ober-Blöbaum, C. Offen, in: IFAC-PapersOnLine, Elsevier, 2023, pp. 3203–3210."},"user_id":"85279","ddc":["510"],"volume":56,"page":"3203-3210","publisher":"Elsevier","_id":"34135","has_accepted_license":"1","status":"public","conference":{"end_date":"2023-07-14","location":" Yokohama, Japan","name":"The 22nd World Congress of the International Federation of Automatic Control","start_date":"2023-07-09"},"type":"conference","department":[{"_id":"636"}],"file":[{"creator":"coffen","description":"By one of the most fundamental principles in physics, a dynamical system will\nexhibit those motions which extremise an action functional. This leads to the formation of\nthe Euler-Lagrange equations, which serve as a model of how the system will behave in time.\nIf the dynamics exhibit additional symmetries, then the motion fulfils additional conservation\nlaws, such as conservation of energy (time invariance), momentum (translation invariance), or\nangular momentum (rotational invariance). To learn a system representation, one could learn\nthe discrete Euler-Lagrange equations, or alternatively, learn the discrete Lagrangian function\nLd which defines them. Based on ideas from Lie group theory, we introduce a framework to learn\na discrete Lagrangian along with its symmetry group from discrete observations of motions and,\ntherefore, identify conserved quantities. The learning process does not restrict the form of the\nLagrangian, does not require velocity or momentum observations or predictions and incorporates\na cost term which safeguards against unwanted solutions and against potential numerical issues\nin forward simulations. The learnt discrete quantities are related to their continuous analogues\nusing variational backward error analysis and numerical results demonstrate the improvement\nsuch models can have both qualitatively and quantitatively even in the presence of noise.","date_created":"2023-04-17T08:05:55Z","relation":"main_file","date_updated":"2023-04-17T08:05:55Z","file_name":"LNN_project.pdf","file_size":576115,"access_level":"open_access","title":"Discrete Lagrangian Neural Networks with Automatic Symmetry Discovery","file_id":"44037","content_type":"application/pdf"}],"date_created":"2022-11-23T08:17:10Z","abstract":[{"lang":"eng","text":"By one of the most fundamental principles in physics, a dynamical system will exhibit those motions which extremise an action functional. This leads to the formation of the Euler-Lagrange equations, which serve as a model of how the system will behave in time. If the dynamics exhibit additional symmetries, then the motion fulfils additional conservation laws, such as conservation of energy (time invariance), momentum (translation invariance), or angular momentum (rotational invariance). To learn a system representation, one could learn the discrete Euler-Lagrange equations, or alternatively, learn the discrete Lagrangian function Ld which defines them. Based on ideas from Lie group theory, in this work we introduce a framework to learn a discrete Lagrangian along with its symmetry group from discrete observations of motions and, therefore, identify conserved quantities. The learning process does not restrict the form of the Lagrangian, does not require velocity or momentum observations or predictions and incorporates a cost term which safeguards against unwanted solutions and against potential numerical issues in forward simulations. The learnt discrete quantities are related to their continuous analogues using variational backward error analysis and numerical results demonstrate the improvement such models can have both qualitatively and quantitatively even in the presence of noise."}],"related_material":{"link":[{"description":"GitHub","relation":"software","url":"https://github.com/yanalish/SymDLNN"}]},"issue":"2","publication":"IFAC-PapersOnLine","doi":"10.1016/j.ifacol.2023.10.1457","main_file_link":[{"url":"https://www.sciencedirect.com/science/article/pii/S2405896323018657"}],"language":[{"iso":"eng"}],"publication_status":"published","date_updated":"2023-12-29T14:26:00Z","intvolume":"        56","title":"Discrete Lagrangian Neural Networks with Automatic Symmetry Discovery","year":"2023","author":[{"full_name":"Lishkova, Yana","first_name":"Yana","last_name":"Lishkova"},{"full_name":"Scherer, Paul","first_name":"Paul","last_name":"Scherer"},{"last_name":"Ridderbusch","first_name":"Steffen","full_name":"Ridderbusch, Steffen"},{"full_name":"Jamnik, Mateja","last_name":"Jamnik","first_name":"Mateja"},{"full_name":"Liò, Pietro","last_name":"Liò","first_name":"Pietro"},{"id":"16494","first_name":"Sina","last_name":"Ober-Blöbaum","full_name":"Ober-Blöbaum, Sina"},{"last_name":"Offen","first_name":"Christian","orcid":"0000-0002-5940-8057","full_name":"Offen, Christian","id":"85279"}]}]